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Simplifying 3(4x + -7) + -6 = 2(d + 2) + -1 Reorder the terms: 3(-7 + 4x) + -6 = 2(d + 2) + -1 (-7 * 3 + 4x * 3) + -6 = 2(d + 2) + -1 (-21 + 12x) + -6 = 2(d + 2) + -1 Reorder the terms: -21 + -6 + 12x = 2(d + 2) + -1 Combine like terms: -21 + -6 = -27 -27 + 12x = 2(d + 2) + -1 Reorder the terms: -27 + 12x = 2(2 + d) + -1 -27 + 12x = (2 * 2 + d * 2) + -1 -27 + 12x = (4 + 2d) + -1 Reorder the terms: -27 + 12x = 4 + -1 + 2d Combine like terms: 4 + -1 = 3 -27 + 12x = 3 + 2d Solving -27 + 12x = 3 + 2d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 12x = 3 + 27 + 2d Combine like terms: -27 + 27 = 0 0 + 12x = 3 + 27 + 2d 12x = 3 + 27 + 2d Combine like terms: 3 + 27 = 30 12x = 30 + 2d Divide each side by '12'. x = 2.5 + 0.1666666667d Simplifying x = 2.5 + 0.1666666667d
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